Overview
- Presents Lie theory from its fundamental principles, as a special class of groups that are studied using differential and integral calculus methods
- Offers several exercises at the end of each chapter, to check and reinforce comprehension
- Each chapter of the book begins with a general, straightforward introduction to the concepts covered, before the formal definitions are presented
Part of the book series: Latin American Mathematics Series (LAMS)
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Table of contents(14 chapters)
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Topological Groups
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Lie Groups and Algebras
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Lie Algebras and Simply Connected Groups
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Transformation Groups
About this book
Each chapter of the book begins with a general, straightforward introduction to the concepts covered; then the formal definitions are presented; and end-of-chapter exercises help to check and reinforce comprehension. Graduate and advanced undergraduate students alike will find in this book a solid yet approachable guide that will help them continue their studies with confidence.
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Authors and Affiliations
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Department of Mathematics—IMECC, State University of Campinas, Campinas, Brazil
Luiz A. B. San Martin
About the author
Bibliographic Information
Book Title: Lie Groups
Authors: Luiz A. B. San Martin
Series Title: Latin American Mathematics Series
DOI: https://doi.org/10.1007/978-3-030-61824-7
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Editora Unicamp 2021
Hardcover ISBN: 978-3-030-61823-0Published: 24 February 2021
eBook ISBN: 978-3-030-61824-7Published: 23 February 2021
Series ISSN: 2524-6755
Series E-ISSN: 2524-6763
Edition Number: 1
Number of Pages: XIV, 371
Number of Illustrations: 25 b/w illustrations
Additional Information: Jointly published with Editora da Unicamp, Campinas,. Original Portuguese edition published by Editora da Unicamp, Campinas, Brazil, 2016
Topics: Topological Groups, Lie Groups, Group Theory and Generalizations, Non-associative Rings and Algebras, Algebraic Geometry